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Finding the Fourth Proportional to 6,901.16, 9,523.62 and 4,106.60

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Solution

The fourth proportional to 6,901.16, 9,523.62 and 4,106.60 is: 5,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.16 : 9,523.62 = 4,106.60 : x
  2. Step 2: Convert to fraction form
    6,901.16/9,523.62 = 4,106.60/x
  3. Step 3: Cross multiply
    6,901.16x = 9,523.62 × 4,106.60
  4. Step 4: Simplify right side
    6,901.16x = 39,109,697.89
  5. Step 5: Solve for x
    x = 39,109,697.89/6,901.16
  6. Step 6: Final answer
    x = 5,667.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.